118829894400 has 864 divisors, whose sum is σ = 514211532800. Its totient is φ = 26276659200.

The previous prime is 118829894383. The next prime is 118829894419. The reversal of 118829894400 is 4498928811.

It is a happy number.

118829894400 is a `hidden beast` number, since 118 + 8 + 2 + 9 + 89 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37496016 + ... + 37499184.

Almost surely, 2^118829894400 is an apocalyptic number.

118829894400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118829894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257105766400).

118829894400 is an abundant number, since it is smaller than the sum of its proper divisors (395381638400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

118829894400 is a wasteful number, since it uses less digits than its factorization.

118829894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 118829894400 in words is "one hundred eighteen billion, eight hundred twenty-nine million, eight hundred ninety-four thousand, four hundred".